A cylinder with height 2x is inscribed in a sphere with radius 8 meters. The center of the sphere is the midpoint of the altitude that joins the centers of the bases of the cylinder. What is the volume of the cylinder? *

The volume of the cylinder is 401.92 cube m.

Step-by-step explanation:

Given,

A cylinder of height 2x inscribed in a sphere of radius 8 m.

The center of the sphere is the midpoint of the altitude that joins the centers of the bases of the cylinder.

To find the volume of the cylinder.

Formula

The volume of a cylinder with h as height and r as radius is = πr²h

Since,

The cylinder is inscribed in the sphere

The radius (r) of the cylinder = 4 m

The height (h) of the cylinder = 8 m

So,

The volume of the cylinder = π×4²×8 cube m

= 128π cube m [ taking π=3.14]

= 128×3.14 cube m

= 401.92 cube m

Hence,

The volume of the cylinder is 401.92 cube m.

560

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b. x + 1

step-by-step explanation:

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